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Finding the Third Proportional to 156,094 and 331,625

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Solution

The third proportional to 156,094 and 331,625 is: 704,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,094 : 331,625 = 331,625 : x
  2. Step 2: Convert to fraction form
    156,094/331,625 = 331,625/x
  3. Step 3: Cross multiply
    156,094x = 331,625 × 331,625
  4. Step 4: Simplify right side
    156,094x = 109,975,140,625
  5. Step 5: Solve for x
    x = 109,975,140,625/156,094
  6. Step 6: Final answer
    x = 704,544.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.